Title
Adaptive-Multilevel BDDC and its parallel implementation
Abstract
We combine the adaptive and multilevel approaches to the BDDC and formulate a method which allows an adaptive selection of constraints on each decomposition level. We also present a strategy for the solution of local eigenvalue problems in the adaptive algorithm using the LOBPCG method with a preconditioner based on standard components of the BDDC. The effectiveness of the method is illustrated on several engineering problems. It appears that the Adaptive-Multilevel BDDC algorithm is able to effectively detect troublesome parts on each decomposition level and improve convergence of the method. The developed open-source parallel implementation shows a good scalability as well as applicability to very large problems and core counts.
Year
DOI
Venue
2013
10.1007/s00607-013-0293-5
Computing
Keywords
Field
DocType
Parallel algorithms,Domain decomposition,Iterative substructuring,BDDC,Adaptive constraints,Multilevel algorithms
BDDC,FETI-DP,Mathematical optimization,Preconditioner,LOBPCG,Computer science,Parallel algorithm,Adaptive algorithm,Domain decomposition methods,Scalability
Journal
Volume
Issue
ISSN
95
12
Computing, 95(12):1087-1119, 2013
Citations 
PageRank 
References 
9
0.73
16
Authors
3
Name
Order
Citations
PageRank
bedřich sousedik1285.50
Jakub Sístek2304.42
Jan Mandel344469.36